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9050157216 = 2534191511217
BaseRepresentation
bin10000110110110111…
…00111000010100000
3212100201110121210000
420123123213002200
5122013320012331
64054012140000
7440162032002
oct103333470240
925321417700
109050157216
11392463a081
121906a67600
13b12c92119
1461bd50372
1537e7d80e6
hex21b6e70a0

9050157216 has 240 divisors, whose sum is σ = 28225834560. Its totient is φ = 2836684800.

The previous prime is 9050157211. The next prime is 9050157227. The reversal of 9050157216 is 6127510509.

9050157216 is a `hidden beast` number, since 90 + 501 + 57 + 2 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9050157211) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7435840 + ... + 7437056.

It is an arithmetic number, because the mean of its divisors is an integer number (117607644).

Almost surely, 29050157216 is an apocalyptic number.

9050157216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9050157216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14112917280).

9050157216 is an abundant number, since it is smaller than the sum of its proper divisors (19175677344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9050157216 is a wasteful number, since it uses less digits than its factorization.

9050157216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 9050157216 is about 95132.3142575644. The cubic root of 9050157216 is about 2083.9407859411.

The spelling of 9050157216 in words is "nine billion, fifty million, one hundred fifty-seven thousand, two hundred sixteen".